Logarithmic Sobolev inequality for zero-range Dynamics
Abstract
We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2004
- DOI:
- 10.48550/arXiv.math/0401248
- arXiv:
- arXiv:math/0401248
- Bibcode:
- 2004math......1248P
- Keywords:
-
- Mathematics - Probability;
- Mathematics - Mathematical Physics;
- Mathematical Physics;
- 60K35;
- 82C22 (Primary)
- E-Print:
- Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)